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Finding the Third Proportional to 122,071 and 285,197

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Solution

The third proportional to 122,071 and 285,197 is: 666,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,071 : 285,197 = 285,197 : x
  2. Step 2: Convert to fraction form
    122,071/285,197 = 285,197/x
  3. Step 3: Cross multiply
    122,071x = 285,197 × 285,197
  4. Step 4: Simplify right side
    122,071x = 81,337,328,809
  5. Step 5: Solve for x
    x = 81,337,328,809/122,071
  6. Step 6: Final answer
    x = 666,311.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.